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Finding the Fourth Proportional to 77,776.38, 116,726.87 and 35,676.30

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Solution

The fourth proportional to 77,776.38, 116,726.87 and 35,676.30 is: 53,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776.38 : 116,726.87 = 35,676.30 : x
  2. Step 2: Convert to fraction form
    77,776.38/116,726.87 = 35,676.30/x
  3. Step 3: Cross multiply
    77,776.38x = 116,726.87 × 35,676.30
  4. Step 4: Simplify right side
    77,776.38x = 4,164,382,653.80
  5. Step 5: Solve for x
    x = 4,164,382,653.80/77,776.38
  6. Step 6: Final answer
    x = 53,543.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.